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Suppose 360 nursing students took a certification test that is worth 140 points. The five-number summary for the scores is shown here.



min. value = 68

Q1 = 110

median = 125

Q3 = 130

max. value = 138



About how many students had a score of 130 or less?




90


130


180


270

Verified Answer :

bcalle

Quartile 3 is 130. Seventy-five percent of the data lies below Q3.
.75* 360= 270
270 is the answer

ashishdwivedilVT

The number of students who had a score of 130 or less will be 270.

It is given that

Total students = 360

Q1 = 110

Q2 = 125

Q3 = 130

Min value =68

Max value = 138

What are Q1 and Q2 in this problem?

25% of data falls to the left of Q1 while 75% of data lies to the right of Q1

75% of data falls to the left of Q3 while 25% of data lies to the right of Q1

Since, Q3 = 130, so the number of students who had a score of 130 or less will be 75 % of the total number of students i.e. 75% of 360 = 270

Therefore, the number of students who had a score of 130 or less will be 270.

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